Kugelbahn
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
Question
Solution
Short
Video
\(\LaTeX\)
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Exercise:
Das Ende einer Kugelbahn besteht aus einem Looping mit Radius cm und einer Auslaufstrecke von .m. Bestimmen Sie den Reibungskoeffizienten auf der Auslaufstrecke falls die Kugel jeweils erst am Ende dieser Strecke zum Stillstand kommt und der Looping mit minimaler Geschwindigkeit durchrollt wird. Vernachlässigen Sie die Rotationsenergie der Kugel und die Reibung im Looping. center tikzpicturescale. % Looping draw very thick circle cm; draw thick-latex -- node above vec r ; % Auslaufstrecke draw very thick - -- - -- -; draw thick - -- -.; draw thick - -- -.; draw thicklatex-latex -. -- node below s -.; % Kugel shadedraw shadingball ball colorgray -. circle .cm; tikzpicture center
Solution:
Da die Energie in diesem Fall nicht erhalten ist für die Kugel gilt: Delta E W. Betrachten wir den kritischen Moment ganz oben im Looping dann gilt -leftfracmv^+mgrright - mu_Rmgs. Die Geschwindigkeit am obersten Punkt ist: v sqrtgr und damit erhalten wir fracgr+gr mu_Rgs myRarrow fracr mu_Rs. Damit ist der Reibungskoeffizient: mu_R fracrs ..
Das Ende einer Kugelbahn besteht aus einem Looping mit Radius cm und einer Auslaufstrecke von .m. Bestimmen Sie den Reibungskoeffizienten auf der Auslaufstrecke falls die Kugel jeweils erst am Ende dieser Strecke zum Stillstand kommt und der Looping mit minimaler Geschwindigkeit durchrollt wird. Vernachlässigen Sie die Rotationsenergie der Kugel und die Reibung im Looping. center tikzpicturescale. % Looping draw very thick circle cm; draw thick-latex -- node above vec r ; % Auslaufstrecke draw very thick - -- - -- -; draw thick - -- -.; draw thick - -- -.; draw thicklatex-latex -. -- node below s -.; % Kugel shadedraw shadingball ball colorgray -. circle .cm; tikzpicture center
Solution:
Da die Energie in diesem Fall nicht erhalten ist für die Kugel gilt: Delta E W. Betrachten wir den kritischen Moment ganz oben im Looping dann gilt -leftfracmv^+mgrright - mu_Rmgs. Die Geschwindigkeit am obersten Punkt ist: v sqrtgr und damit erhalten wir fracgr+gr mu_Rgs myRarrow fracr mu_Rs. Damit ist der Reibungskoeffizient: mu_R fracrs ..
Meta Information
Exercise:
Das Ende einer Kugelbahn besteht aus einem Looping mit Radius cm und einer Auslaufstrecke von .m. Bestimmen Sie den Reibungskoeffizienten auf der Auslaufstrecke falls die Kugel jeweils erst am Ende dieser Strecke zum Stillstand kommt und der Looping mit minimaler Geschwindigkeit durchrollt wird. Vernachlässigen Sie die Rotationsenergie der Kugel und die Reibung im Looping. center tikzpicturescale. % Looping draw very thick circle cm; draw thick-latex -- node above vec r ; % Auslaufstrecke draw very thick - -- - -- -; draw thick - -- -.; draw thick - -- -.; draw thicklatex-latex -. -- node below s -.; % Kugel shadedraw shadingball ball colorgray -. circle .cm; tikzpicture center
Solution:
Da die Energie in diesem Fall nicht erhalten ist für die Kugel gilt: Delta E W. Betrachten wir den kritischen Moment ganz oben im Looping dann gilt -leftfracmv^+mgrright - mu_Rmgs. Die Geschwindigkeit am obersten Punkt ist: v sqrtgr und damit erhalten wir fracgr+gr mu_Rgs myRarrow fracr mu_Rs. Damit ist der Reibungskoeffizient: mu_R fracrs ..
Das Ende einer Kugelbahn besteht aus einem Looping mit Radius cm und einer Auslaufstrecke von .m. Bestimmen Sie den Reibungskoeffizienten auf der Auslaufstrecke falls die Kugel jeweils erst am Ende dieser Strecke zum Stillstand kommt und der Looping mit minimaler Geschwindigkeit durchrollt wird. Vernachlässigen Sie die Rotationsenergie der Kugel und die Reibung im Looping. center tikzpicturescale. % Looping draw very thick circle cm; draw thick-latex -- node above vec r ; % Auslaufstrecke draw very thick - -- - -- -; draw thick - -- -.; draw thick - -- -.; draw thicklatex-latex -. -- node below s -.; % Kugel shadedraw shadingball ball colorgray -. circle .cm; tikzpicture center
Solution:
Da die Energie in diesem Fall nicht erhalten ist für die Kugel gilt: Delta E W. Betrachten wir den kritischen Moment ganz oben im Looping dann gilt -leftfracmv^+mgrright - mu_Rmgs. Die Geschwindigkeit am obersten Punkt ist: v sqrtgr und damit erhalten wir fracgr+gr mu_Rgs myRarrow fracr mu_Rs. Damit ist der Reibungskoeffizient: mu_R fracrs ..
Contained in these collections
| Title | Creator | Matched on |
|---|---|---|
| Kugelbahn | aej | title |
| Kugelbahn | aej | title |
| Multiple Choice | cm | tags |
| Rollende Kugel | cm | tags |
| Pendel auslenken | cm | tags |
Similar exercises (10)
| Title | Creator | Matched on |
|---|---|---|
| Kugelbahn | aej | title |
| Kugelbahn | aej | title |
| Multiple Choice | cm | tags |
| Rollende Kugel | cm | tags |
| Pendel auslenken | cm | tags |
| Multiple Choice | cm | tags |
| Multiple Choice | cm | tags |
| Medical Multiple Choice | cm | tags |
| Sprung auf dem Mond | cm | tags |
| Kinetische Energie mal anders! | cm | tags |

